Static and Dynamic Analyses of Plates and Shells
Home > Science, Technology & Agriculture > Civil engineering, surveying and building > Static and Dynamic Analyses of Plates and Shells
Static and Dynamic Analyses of Plates and Shells

Static and Dynamic Analyses of Plates and Shells

|
     0     
5
4
3
2
1




Out of Stock


Notify me when this book is in stock
About the Book

Over the past decade or so much has been written on the various attempts to produce efficient, accurate and reliable Mindlin plate finite elements. In the late sixties, a degenerated, Mindlin-type, curved shell element was developed and subsequently many improvements in such elements have been made. Reliability and efficiency in use has always been a major objective. Degenerated shell elements have enjoyed widespread popularity despite certain potential defects, including shear and membrane lock- ing behaviour and spurious mechanisms. After introducing the basic foundations of Mindlin-type elements, this book describes these defects and also gives the reasons for their occurrence. Furthermore, the author proposes an approach to overcome these defects. A series of linear benchmark tests are proposed to illustrate the performance of the assumed strain element formulations. The formula- tions and applications for material non-linearity are also presented. Both isotropic and anisotropic material models are included together with the results for both static and transient dynamic analyses. Two associated programs are fully documented and provided on floppy discs with test examples. Source codes for the two associated programs are provided: one is for static analysis and the other for dynamic analysis, and the programs can be compiled and run on either a mini or mainframe coniputer via a terminal. The author hopes that this book may provide further impetus in the important research area of plate and shell element technology.

Table of Contents:
1 Introduction.- 1.1 Changing Trends in Shell Analysis.- 1.2 Reliability of Finite Element Analysis.- 1.3 Shell Element Formulations.- 1.4 Objective and Layout.- 2 Degenerations of Three-Dimensional Theory.- 2.1 Introduction.- 2.2 Three-Dimensional Theory.- 2.3 Plate Theory.- 2.3.1 Thin Plate Theory (Kirchhoff hypothesis).- 2.3.2 Thick Plate Theory (Mindlin-Reissner Hypothesis).- 2.4 Three-Dimensional Degenerated Curved Shell.- 2.4.1 Definition of Strains.- 2.4.2 Definition of Stresses.- 2.4.3 The Total Potential Energy.- 3 Defects of Mindlin Plate and Degenerated Shell Elements.- 3.1 Introduction.- 3.2 Formulation of Mindlin Plate Bending Elements.- 3.2.1 Formulation of Mindlin Isoparametric Bending Elements.- 3.2.2 Finite Element Representations of Boundary Conditions.- 3.3 Formulation of Degenerated Shell Elements.- 3.3.1 Coordinate Systems.- 3.3.2 Element Geometry.- 3.3.3 Displacement Field.- 3.4 Defects of Mindlin Plate and Degenerated Shell Elements.- 3.4.1 Locking Phenomena.- 3.4.2 Reduced and Selective Integration.- 3.4.3 Alternative Methods Avoiding the Locking Problems.- 4 Assumed Strain Finite Element Plate Formulations.- 4.1 Introduction.- 4.2 Essence of Shear Locking.- 4.3 Reinterpretation of Selectively Integrated Elements.- 4.4 Elimination of Shear Locking.- 4.4.1 Assumed Transverse Shear Strain Fields.- 4.4.2 Location of the Sampling Points for the Shear Strains.- 4.4.3 The Evaluation of the Stiffness Matrix.- 5 Linear Benchmark Tests for Plate Elements.- 5.1 Introduction.- 5.2 Eigen-Analyses of the Stiffness Matrices.- 5.3 Patch Tests.- 5.3.1 Patch Tests for Bending.- 5.3.2 Patch Tests for Twisting.- 5.3.3 Patch Tests for Shear.- 5.4 Locking Tests.- 5.5 Long Cantilever.- 5.6 Convergence Tests.- 5.6.1 Simply Supported Square Plates under Uniform Load.- 5.6.2 Clamped Square Plate under Uniform Load.- 5.6.3 Clamped Circular Plates.- 5.7 Skew Plates.- 5.7.1 Razzaque's 60 Skew Plate.- 5.7.2 Morley's 30 Skew Plate.- 5.8 Stress Resultant Study.- 6 Assumed Strain Finite Element Shell Formulations.- 6.1 Introduction.- 6.2 Shear Locking, Membrane Locking and Selective Integration.- 6.2.1 Shear Locking in Shells.- 6.2.2 Essence of Membrane Locking.- 6.3 Elimination of Shear Locking.- 6.4 Elimination of Membrane Locking.- 6.4.1 Orthogonal Curvilinear Coordinate System (r, s, t or ri).- 6.4.2 Assumed Membrane Strains.- 6.5 Assumed Strain Degenerated Shell Elements.- 6.5.1 Location of Sampling Points for the Membrane Strains.- 6.5.2 The Evaluation of the Stiffness Matrix.- 6.6 Discussion.- 7 Linear Benchmark Tests for Shell Elements.- 7.1 Introduction.- 7.2 Eigen-Analysis of the Stiffness Matrices.- 7.3 Patch Tests.- 7.3.1 Bending, Twisting and Shear Patch Tests.- 7.3.2 Plane Stress Patch Tests.- 7.4 Locking Tests.- 7.4.1 Shear Locking Tests.- 7.4.2 Membrane Locking Tests.- 7.5 Conclusions.- 8 Formulations and Applications for Elasto-Plastic Shell Analyses.- 8.1 Introduction.- 8.2 Laminated Plate and Shell Model.- 8.3 Shear Correction Factors.- 8.4 The Anisotropic Yield Criterion.- 8.4.1 Generalised Huber-Mises Yield Criterion.- 8.4.2 Determination of Anisotropic Parameters.- 8.4.3 Relation between Elasto-Plastic Stresses and Strains.- 8.4.4 Tangent Stiffness Matrix.- 8.5 Numerical Examples.- 8.5.1 Clamped Square Plate.- 8.5.2 Clamped Quadratic Shell.- 9 Formulations and Applications for Elasto-Plastic Dynamic Shell Analyses.- 9.1 Introduction.- 9.2 Dynamic Equilibrium Equations.- 9.3 Modelling of Mass Matrix.- 9.3.1 Consistent Mass Matrix.- 9.3.2 Lumped Mass Matrix.- 9.4 Newmark's Time Stepping Scheme.- 9.5 Numerical Examples.- 9.5.1 Rectangular Plate.- 9.5.2 Simply Supported Square Plate.- 9.5.3 Clamped Circular Plate.- 9.5.4 Spherical Shell Caps.- Appendix 1 Software Description for Elasto-Plastic Static Analysis.- A1.1 Introduction.- A1.2 Glossary of Variable Names.- A1.2.1 Main Arrays.- A1.2.2 Main Variables.- A1.3 Program Overview.- A1.4 File Handling.- A1.4.1 Subroutine INPUT.- A1.4.2 User Instructions.- A1.4.3 Files.- A1.5 Documented Example - Clamped Quadratic Shell.- A1.5.1 Input Data File.- A1.5.2 Output Data File.- A1.6 Stiffness Evaluation Module.- A1.6.1 Subroutine for Evaluation of Stiffness Matrix.- A1.6.2 Evaluation of Strain-Displacement Matrix.- A1.6.3 Subroutine BSAMP.- A1.6.4 Subroutine FUNC.- A1.6.5 Subroutine FRAME.- A1.6.6 Subroutine SFR1.- A1.6.7 Subroutine SFR3.- A1.6.8 Subroutine TBMAT.- A1.6.9 Subroutine XDIC.- Appendix 2 Software Descriptions for Elasto-Plastic Transient Analysis.- A2.1 Introduction.- A2.2 Glossary of Variable Names.- A2.2.1 Main Arrays.- A2.2.2 Main Variables.- A2.3 Program Overview.- A2.4 File Handling.- A2.4.1 Subroutine INPUTD.- A2.4.2 Subroutine INTIME.- A2.4.3 User Instructions.- A2.4.4 Files.- A2.5 Documented Example - Thin Spherical Cap.- A2.5.1 Input Data File.- A2.5.2 Output Data File.- Author Index.


Best Sellers


Product Details
  • ISBN-13: 9783540195382
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Publisher Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Height: 240 mm
  • Returnable: N
  • ISBN-10: 3540195386
  • Publisher Date: 25 May 1989
  • Binding: Hardback
  • Language: English
  • Weight: 610 gr


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Static and Dynamic Analyses of Plates and Shells
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG -
Static and Dynamic Analyses of Plates and Shells
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Static and Dynamic Analyses of Plates and Shells

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals

    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!